Finding the Third Proportional to 29,740 and 64,123

Step by Step Solution

1. Step 1: Write the proportion equation
   29,740 : 64,123 = 64,123 : x
2. Step 2: Convert to fraction form
   29,740/64,123 = 64,123/x
3. Step 3: Cross multiply
   29,740x = 64,123 × 64,123
4. Step 4: Simplify right side
   29,740x = 4,111,759,129
5. Step 5: Solve for x
   x = 4,111,759,129/29,740
6. Step 6: Final answer
   x = 138,256.86